ITPEC IP October 2018 Question 2
ITPEC IP October 2018 — Question 2 of 100
Multiplying the given binary value by 3 produces option (c). First convert 10110 to decimal: 16+4+2=22. Then 22*3=66, and 66=64+2, so its binary representation has bits 6 and 1 set: 1000010.
Answer (c)
Why not others:
- the other bit patterns represent decimal values other than 66
- multiplying by 3 is not the same as merely shifting left, which would multiply by 2
Key rule: A left shift multiplies a binary value by 2; multiplication by 3 can be calculated as the original value plus its one-bit left shift.
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